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Finding the Fourth Proportional to 13,772.77, 19,009.06 and 7,804.69

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Solution

The fourth proportional to 13,772.77, 19,009.06 and 7,804.69 is: 10,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.77 : 19,009.06 = 7,804.69 : x
  2. Step 2: Convert to fraction form
    13,772.77/19,009.06 = 7,804.69/x
  3. Step 3: Cross multiply
    13,772.77x = 19,009.06 × 7,804.69
  4. Step 4: Simplify right side
    13,772.77x = 148,359,753.46
  5. Step 5: Solve for x
    x = 148,359,753.46/13,772.77
  6. Step 6: Final answer
    x = 10,771.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.